{
 "cells": [
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Fourier Neural Operator 2D"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "c:\\Users\\Harris\\AppData\\Local\\Programs\\Python\\Python38\\lib\\site-packages\\tqdm\\auto.py:22: TqdmWarning: IProgress not found. Please update jupyter and ipywidgets. See https://ipywidgets.readthedocs.io/en/stable/user_install.html\n",
      "  from .autonotebook import tqdm as notebook_tqdm\n"
     ]
    }
   ],
   "source": [
    "## Imports \n",
    "import matplotlib.pyplot as plt \n",
    "import numpy as np \n",
    "import torch \n",
    "import torch.nn as nn\n",
    "from timeit import default_timer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "## Set seeds\n",
    "torch.manual_seed(0)\n",
    "np.random.seed(0)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Create Data"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Heat Equation:\n",
    "\n",
    "\\begin{align*}\n",
    "\\frac{\\partial u}{\\partial t} &= \\alpha \\frac{\\partial^2 u}{\\partial x^2} \\\\\n",
    "u(x, 0) &= x^2 \\\\\n",
    "u(0, t) &= u(1, t) = 2 - \\exp(-t)\n",
    "\\end{align*}\n",
    "\n",
    "Solution: \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "## TODO: Create Heat Equation Class"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Vv550YdNiPSf0dfHh1D0bZ84keTPwAWBfVf2yp9rWykpzvgi4DPhqkh8wWGucn/IXRsd5nk8D81X1VFV9H/gugwY/rcaZ8/XAHQBV9XXgBQz+E6tWjfX7vhrruaGviw+n7tmKc06yG/gEg2Y+7euqsMKcq+qxqtpSVTuqageD1w32VdXCZMrtxDg/23cySOck2cJgCeZUjzV2bZw5/wh4E0CSVzNo6Iu9VtmveeDtw6tdrgQeq6qfnNMtTvqV4BVeJd7LIJl8D/jA8NitDH6hYfCEfwE4CfwH8MpJ19zDnP8N+G/gm8Ov+UnXvNZzXjL2q0z5VS5jPs9hsNT0APBt4MCka+5hzruArzG4AuabwB9NuuZznO/ngJ8ATzH4i+t64F3Au0ae40PDx+PbXfxc+9Z/SWrEel5ykSStgg1dkhphQ5ekRtjQJakRNnRJaoQNXZIaYUOXpEb8LxfRrxVAVu8LAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "## Steps in x direction\n",
    "nx = 100\n",
    "## Steps in t direction\n",
    "nt = 100\n",
    "\n",
    "h = 1 / nx ## Step size in x direction\n",
    "k = 1 / nt ## Step size in t direction\n",
    "\n",
    "alpha = 0.05\n",
    "r =  alpha * k / h**2\n",
    "\n",
    "X, T = np.meshgrid(np.linspace(0, 1, nx + 1), np.linspace(0, 1, nt + 1))\n",
    "\n",
    "plt.scatter(X, T)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "## Initial Condition\n",
    "beta = np.pi\n",
    "u0 = np.sin(beta * X[0]) \n",
    "\n",
    "## Boundary Conditions\n",
    "ux0 = 0 # u0[0] # T[:, 0]\n",
    "uxn = 0 # u0[-1] # 2 - np.exp(-T[:, -1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "A = np.zeros((nx - 1, nx - 1))\n",
    "B = np.zeros((nx - 1, nx - 1))\n",
    "\n",
    "for i in range(nx - 1):\n",
    "    A[i, i] = 2 + 2 * r\n",
    "    B[i, i] = 2 - 2 * r\n",
    "\n",
    "for i in range(nx - 2):\n",
    "    A[i + 1, i] = -r\n",
    "    A[i, i + 1] = -r\n",
    "    B[i + 1, i] = r\n",
    "    B[i, i + 1] = r\n",
    "\n",
    "Ainv = np.linalg.inv(A)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "## Compute Solution\n",
    "u = np.zeros((nt + 1, nx + 1))\n",
    "u[0] = u0\n",
    "u[:, 0] = ux0\n",
    "u[:, -1] = uxn\n",
    "\n",
    "# b = np.zeros(nx - 1)\n",
    "for j in range(1, nt + 1):\n",
    "    # b[0] = r * u[j - 1, 0] + r * u[j, 0]\n",
    "    # b[-1] = r * u[j - 1, -1] + r * u[j, -1]\n",
    "    u[j, 1:nx] = Ainv @ ((B @ u[j - 1, 1:nx])) # + b)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(u, aspect='auto')\n",
    "plt.colorbar()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "## Number of Samples \n",
    "n = 10000\n",
    "## Output\n",
    "data_in = []\n",
    "data_out = []\n",
    "\n",
    "## Generate Data\n",
    "for _ in range(n):\n",
    "    beta = np.random.uniform(-10, 10)\n",
    "    beta_mat = beta * np.ones((nt + 1, nx + 1))\n",
    "\n",
    "    u0 = np.sin(beta * X[0])\n",
    "\n",
    "    data_in.append([beta_mat, X, T])\n",
    "\n",
    "    ## Create Solution Matrix\n",
    "    u = np.zeros((nt + 1, nx + 1))\n",
    "    u[0] = u0\n",
    "    u[:, 0] = ux0\n",
    "    u[:, -1] = uxn\n",
    "\n",
    "    # b = np.zeros(nx - 1)\n",
    "    for j in range(1, nt + 1):\n",
    "        # b[0] = r * u[j - 1, 0] + r * u[j, 0]\n",
    "        # b[-1] = r * u[j - 1, -1] + r * u[j, -1]\n",
    "        u[j, 1:nx] = Ainv @ ((B @ u[j - 1, 1:nx])) # + b)\n",
    "\n",
    "    data_out.append(u)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\Harris\\AppData\\Local\\Temp\\ipykernel_8248\\974941267.py:1: UserWarning: Creating a tensor from a list of numpy.ndarrays is extremely slow. Please consider converting the list to a single numpy.ndarray with numpy.array() before converting to a tensor. (Triggered internally at  C:\\actions-runner\\_work\\pytorch\\pytorch\\builder\\windows\\pytorch\\torch\\csrc\\utils\\tensor_new.cpp:204.)\n",
      "  data_in = np.array(torch.tensor(data_in).float())\n"
     ]
    }
   ],
   "source": [
    "data_in = np.array(torch.tensor(data_in).float())\n",
    "data_out = np.array(torch.tensor(data_out).float().unsqueeze(1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "## Data Loader\n",
    "from torch.utils.data import Dataset, DataLoader\n",
    "import pandas as pd\n",
    "\n",
    "class CustomDataset(Dataset):\n",
    "    def __init__(self, t, x):\n",
    "        self.t = t\n",
    "        self.x = x\n",
    "\n",
    "    def __len__(self):\n",
    "        return len(self.t)\n",
    "    \n",
    "    def __getitem__(self, index):\n",
    "        return self.t[index], self.x[index]\n",
    "\n",
    "data = CustomDataset(data_in, data_out)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[[0.9762701, 0.9762701, 0.9762701, ..., 0.9762701, 0.9762701,\n",
       "         0.9762701],\n",
       "        [0.9762701, 0.9762701, 0.9762701, ..., 0.9762701, 0.9762701,\n",
       "         0.9762701],\n",
       "        [0.9762701, 0.9762701, 0.9762701, ..., 0.9762701, 0.9762701,\n",
       "         0.9762701],\n",
       "        ...,\n",
       "        [0.9762701, 0.9762701, 0.9762701, ..., 0.9762701, 0.9762701,\n",
       "         0.9762701],\n",
       "        [0.9762701, 0.9762701, 0.9762701, ..., 0.9762701, 0.9762701,\n",
       "         0.9762701],\n",
       "        [0.9762701, 0.9762701, 0.9762701, ..., 0.9762701, 0.9762701,\n",
       "         0.9762701]],\n",
       "\n",
       "       [[0.       , 0.01     , 0.02     , ..., 0.98     , 0.99     ,\n",
       "         1.       ],\n",
       "        [0.       , 0.01     , 0.02     , ..., 0.98     , 0.99     ,\n",
       "         1.       ],\n",
       "        [0.       , 0.01     , 0.02     , ..., 0.98     , 0.99     ,\n",
       "         1.       ],\n",
       "        ...,\n",
       "        [0.       , 0.01     , 0.02     , ..., 0.98     , 0.99     ,\n",
       "         1.       ],\n",
       "        [0.       , 0.01     , 0.02     , ..., 0.98     , 0.99     ,\n",
       "         1.       ],\n",
       "        [0.       , 0.01     , 0.02     , ..., 0.98     , 0.99     ,\n",
       "         1.       ]],\n",
       "\n",
       "       [[0.       , 0.       , 0.       , ..., 0.       , 0.       ,\n",
       "         0.       ],\n",
       "        [0.01     , 0.01     , 0.01     , ..., 0.01     , 0.01     ,\n",
       "         0.01     ],\n",
       "        [0.02     , 0.02     , 0.02     , ..., 0.02     , 0.02     ,\n",
       "         0.02     ],\n",
       "        ...,\n",
       "        [0.98     , 0.98     , 0.98     , ..., 0.98     , 0.98     ,\n",
       "         0.98     ],\n",
       "        [0.99     , 0.99     , 0.99     , ..., 0.99     , 0.99     ,\n",
       "         0.99     ],\n",
       "        [1.       , 1.       , 1.       , ..., 1.       , 1.       ,\n",
       "         1.       ]]], dtype=float32)"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[0][0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(3, 101, 101)"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[0][0].shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "dataloader = DataLoader(data, batch_size=16, shuffle=True)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Build Network"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Using cpu device.\n"
     ]
    }
   ],
   "source": [
    "## Get Device for Training\n",
    "device = 'cuda' if torch.cuda.is_available() else 'cpu'\n",
    "print(f'Using {device} device.')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "## Fourier Integral Kernel 2D\n",
    "class FourierIntegralKernel2D(nn.Module):\n",
    "    def __init__(self, in_channels: int, out_channels: int, modes1: int, modes2: int):\n",
    "        super(FourierIntegralKernel2D, self).__init__()\n",
    "        '''\n",
    "        '''\n",
    "        self.in_channels = in_channels\n",
    "        self.out_channels = out_channels \n",
    "        self.modes1 = modes1 \n",
    "        self.modes2 = modes2\n",
    "        ## Set (random) weights for the linear transform\n",
    "        weights1 = torch.rand(self.modes1, self.modes2, self.out_channels, self.in_channels, dtype=torch.cfloat) \n",
    "        self.weights1 = nn.Parameter(weights1 / (self.in_channels * self.out_channels)) ## Optional: Scale weights\n",
    "        weights2 = torch.rand(self.modes1, self.modes2, self.out_channels, self.in_channels, dtype=torch.cfloat) \n",
    "        self.weights2 = nn.Parameter(weights2 / (self.in_channels * self.out_channels))\n",
    "\n",
    "    def forward(self, v: torch.Tensor) -> torch.Tensor:\n",
    "        '''\n",
    "        FFT -> Linear Transform -> Inverse FFT\n",
    "        '''\n",
    "        ## FFT\n",
    "        # print(f'v: {v.shape}')\n",
    "        v_rfft = torch.fft.rfft2(v)\n",
    "        # print(f'v_rfft: {v_rfft.shape}')\n",
    "\n",
    "        ## Linear Transform \n",
    "        lv_rfft = torch.zeros(v_rfft.shape, dtype=torch.cfloat)\n",
    "        # lv_rfft[:, :, :self.modes] = torch.einsum('koi, bki -> bko', self.weights, v_rfft[:, :, :self.modes].permute(0, 2, 1)).permute(0, 2, 1) ## TODO: Should I have 5 dimensions here?\n",
    "        lv_rfft[:, :, :self.modes1, :self.modes2] = torch.einsum('kloi, bkli -> bklo', self.weights1, v_rfft[:, :, :self.modes1, :self.modes2].permute(0, 2, 3, 1)).permute(0, 3, 1, 2)\n",
    "        # print(f'lv_rfft: {lv_rfft[0][0][:10, :10].shape}')\n",
    "        # print(f'lv_rfft: {lv_rfft[0][0][:10, :10]}')    \n",
    "        lv_rfft[:, :, -self.modes1:, :self.modes2] = torch.einsum('kloi, bkli -> bklo', self.weights2, v_rfft[:, :, -self.modes1:, :self.modes2].permute(0, 2, 3, 1)).permute(0, 3, 1, 2)\n",
    "\n",
    "        ## Inverse FFT\n",
    "        v2 = torch.fft.irfft2(lv_rfft, s=(v.shape[-2], v.shape[-1]))\n",
    "        # print(f'v2: {v2.shape}')\n",
    "        return v2\n",
    "        "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "## Fourier Network Operator 2D\n",
    "class FourierNetworkOperator2D(nn.Module):\n",
    "    def __init__(self, da: int, du: int, width: int, modes1: int, modes2: int):\n",
    "        super(FourierNetworkOperator2D, self).__init__()\n",
    "        '''\n",
    "        '''\n",
    "        self.width = width\n",
    "        self.modes1 = modes1\n",
    "        self.modes2 = modes2\n",
    "\n",
    "        ## P: Lifts the lower dimensional function to higher dimensional space\n",
    "        self.P = nn.Conv2d(da, self.width, 1) ## TODO: Change da\n",
    "\n",
    "        ## K: Fourier integral kernel operator\n",
    "        self.k0 = FourierIntegralKernel2D(self.width, self.width, self.modes1, self.modes2)\n",
    "        self.k1 = FourierIntegralKernel2D(self.width, self.width, self.modes1, self.modes2)\n",
    "        self.k2 = FourierIntegralKernel2D(self.width, self.width, self.modes1, self.modes2)\n",
    "        self.k3 = FourierIntegralKernel2D(self.width, self.width, self.modes1, self.modes2)\n",
    "        self.k4 = FourierIntegralKernel2D(self.width, self.width, self.modes1, self.modes2)\n",
    "        self.k5 = FourierIntegralKernel2D(self.width, self.width, self.modes1, self.modes2)\n",
    "        self.k6 = FourierIntegralKernel2D(self.width, self.width, self.modes1, self.modes2)\n",
    "        self.k7 = FourierIntegralKernel2D(self.width, self.width, self.modes1, self.modes2)\n",
    "        self.k8 = FourierIntegralKernel2D(self.width, self.width, self.modes1, self.modes2)\n",
    "        self.k9 = FourierIntegralKernel2D(self.width, self.width, self.modes1, self.modes2)\n",
    "\n",
    "        ## W: Pointwise linear operator\n",
    "        self.w0 = nn.Conv2d(self.width, self.width, 1)\n",
    "        self.w1 = nn.Conv2d(self.width, self.width, 1)\n",
    "        self.w2 = nn.Conv2d(self.width, self.width, 1)\n",
    "        self.w3 = nn.Conv2d(self.width, self.width, 1)\n",
    "        self.w4 = nn.Conv2d(self.width, self.width, 1)\n",
    "        self.w5 = nn.Conv2d(self.width, self.width, 1)\n",
    "        self.w6 = nn.Conv2d(self.width, self.width, 1)\n",
    "        self.w7 = nn.Conv2d(self.width, self.width, 1)\n",
    "        self.w8 = nn.Conv2d(self.width, self.width, 1)\n",
    "        self.w9 = nn.Conv2d(self.width, self.width, 1)\n",
    "\n",
    "        ## Q: Projects the higher dimensional function to lower dimensional space\n",
    "        self.Q = nn.Conv2d(self.width, du, 1) ## TODO: Change du\n",
    "\n",
    "    def forward(self, x: torch.Tensor) -> torch.Tensor:\n",
    "        '''\n",
    "        '''\n",
    "        ## P\n",
    "        x = self.P(x)\n",
    "\n",
    "        ## Fourier Layer #0\n",
    "        ## K\n",
    "        x1 = self.k0(x)\n",
    "        ## W\n",
    "        x2 = self.w0(x)\n",
    "        ## Sum\n",
    "        x = x1 + x2\n",
    "        ## Gelu\n",
    "        x = nn.functional.gelu(x)\n",
    "        # x = nn.functional.gelu(x1)\n",
    "        # x = nn.functional.gelu(x2)\n",
    "\n",
    "        ## Fourier Layer #1\n",
    "        ## K\n",
    "        x1 = self.k1(x)\n",
    "        ## W\n",
    "        x2 = self.w1(x)\n",
    "        ## Sum \n",
    "        x = x1 + x2\n",
    "        ## Gelu\n",
    "        x = nn.functional.gelu(x)\n",
    "        # x = nn.functional.gelu(x1)\n",
    "        # x = nn.functional.gelu(x2)\n",
    "\n",
    "        ## Fourier Layer #2\n",
    "        ## K\n",
    "        x1 = self.k2(x)\n",
    "        ## W\n",
    "        x2 = self.w2(x)\n",
    "        ## Sum\n",
    "        x = x1 + x2\n",
    "        ## Gelu\n",
    "        x = nn.functional.gelu(x)\n",
    "        # x = nn.functional.gelu(x1)\n",
    "        # x = nn.functional.gelu(x2)\n",
    "\n",
    "        ## Fourier Layer #3\n",
    "        ## K\n",
    "        x1 = self.k3(x)\n",
    "        ## W\n",
    "        x2 = self.w3(x)\n",
    "        ## Sum\n",
    "        x = x1 + x2\n",
    "        ## Gelu\n",
    "        x = nn.functional.gelu(x)\n",
    "        # x = nn.functional.gelu(x1)\n",
    "        # x = nn.functional.gelu(x2)\n",
    "\n",
    "        ## Fourier Layer #4\n",
    "        ## K\n",
    "        x1 = self.k4(x)\n",
    "        ## W\n",
    "        x2 = self.w4(x)\n",
    "        ## Sum\n",
    "        x = x1 + x2\n",
    "        ## Gelu\n",
    "        x = nn.functional.gelu(x)\n",
    "        # x = nn.functional.gelu(x1)\n",
    "        # x = nn.functional.gelu(x2)\n",
    "\n",
    "        ## Fourier Layer #5\n",
    "        ## K\n",
    "        x1 = self.k5(x)\n",
    "        ## W\n",
    "        x2 = self.w5(x)\n",
    "        ## Sum\n",
    "        x = x1 + x2\n",
    "        ## Gelu\n",
    "        x = nn.functional.gelu(x)\n",
    "        # x = nn.functional.gelu(x1)\n",
    "        # x = nn.functional.gelu(x2)\n",
    "\n",
    "        ## Fourier Layer #6\n",
    "        ## K\n",
    "        x1 = self.k6(x)\n",
    "        ## W\n",
    "        x2 = self.w6(x)\n",
    "        ## Sum\n",
    "        x = x1 + x2\n",
    "        ## Gelu\n",
    "        x = nn.functional.gelu(x)\n",
    "        # x = nn.functional.gelu(x1)\n",
    "        # x = nn.functional.gelu(x2)\n",
    "\n",
    "        ## Fourier Layer #7\n",
    "        ## K\n",
    "        x1 = self.k7(x)\n",
    "        ## W\n",
    "        x2 = self.w7(x)\n",
    "        ## Sum\n",
    "        x = x1 + x2\n",
    "        ## Gelu\n",
    "        x = nn.functional.gelu(x)\n",
    "        # x = nn.functional.gelu(x1)\n",
    "        # x = nn.functional.gelu(x2)\n",
    "\n",
    "        ## Fourier Layer #8\n",
    "        ## K\n",
    "        x1 = self.k8(x)\n",
    "        ## W\n",
    "        x2 = self.w8(x)\n",
    "        ## Sum\n",
    "        x = x1 + x2\n",
    "        ## Gelu\n",
    "        x = nn.functional.gelu(x)\n",
    "        # x = nn.functional.gelu(x1)\n",
    "        # x = nn.functional.gelu(x2)\n",
    "\n",
    "        ## Fourier Layer #9\n",
    "        ## K\n",
    "        x1 = self.k9(x)\n",
    "        ## W\n",
    "        x2 = self.w9(x)\n",
    "        ## Sum\n",
    "        x = x1 + x2\n",
    "        ## Gelu\n",
    "        x = nn.functional.gelu(x)\n",
    "        # x = nn.functional.gelu(x1)\n",
    "        # x = nn.functional.gelu(x2)\n",
    "\n",
    "        ## Q\n",
    "        x = self.Q(x)\n",
    "        return x\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of parameters: 2663361\n"
     ]
    }
   ],
   "source": [
    "import operator\n",
    "from functools import reduce\n",
    "\n",
    "def count_parameters(model):\n",
    "    c = 0\n",
    "    for p in list(model.parameters()):\n",
    "        c += reduce(operator.mul, list(p.size() + (2, ) if p.is_complex() else p.size()))\n",
    "    return c\n",
    "\n",
    "model = FourierNetworkOperator2D(3, 1, width=64, modes1=4, modes2=4)\n",
    "print(f'Number of parameters: {count_parameters(model)}')"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Train"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "## Model Parameters\n",
    "learning_rate = 1e-3\n",
    "epochs = 5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "## Loss Function\n",
    "loss_function = nn.MSELoss()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "## Optimizer \n",
    "optimizer = torch.optim.Adam(model.parameters(), lr=learning_rate)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "## Test 0\n",
    "## Initial Condition\n",
    "betat0 = np.random.uniform(-10, 10)\n",
    "beta_matt0 = betat0 * torch.from_numpy(np.ones((nt + 1, nx + 1))).float().unsqueeze(0).unsqueeze(0)\n",
    "\n",
    "## Compute Solution\n",
    "ut0 = np.zeros((nt + 1, nx + 1))\n",
    "ut0[0] = np.sin(betat0 * X[0]) \n",
    "ut0[:, 0] = ux0\n",
    "ut0[:, -1] = uxn\n",
    "\n",
    "# b = np.zeros(nx - 1)\n",
    "for j in range(1, nt + 1):\n",
    "    # b[0] = r * u[j - 1, 0] + r * u[j, 0]\n",
    "    # b[-1] = r * u[j - 1, -1] + r * u[j, -1]\n",
    "    ut0[j, 1:nx] = Ainv @ ((B @ ut0[j - 1, 1:nx])) # + b)\n",
    "\n",
    "upredt0 = model(torch.cat((beta_matt0, torch.from_numpy(X).float().unsqueeze(0).unsqueeze(0), torch.from_numpy(T).float().unsqueeze(0).unsqueeze(0)), 1))\n",
    "# print(upredt0.shape)\n",
    "\n",
    "plt.subplot(121)\n",
    "plt.imshow(ut0, aspect='auto')\n",
    "plt.subplot(122)\n",
    "plt.imshow(upredt0.detach()[0][0], aspect='auto')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "## Test 1\n",
    "## Initial Condition\n",
    "betat1 = np.random.uniform(-10, 10)\n",
    "beta_matt1 = betat1 * torch.from_numpy(np.ones((nt + 1, nx + 1))).float().unsqueeze(0).unsqueeze(0)\n",
    "\n",
    "## Compute Solution\n",
    "ut1 = np.zeros((nt + 1, nx + 1))\n",
    "ut1[0] = np.sin(betat1 * X[0]) \n",
    "ut1[:, 0] = ux0\n",
    "ut1[:, -1] = uxn\n",
    "\n",
    "# b = np.zeros(nx - 1)\n",
    "for j in range(1, nt + 1):\n",
    "    # b[0] = r * u[j - 1, 0] + r * u[j, 0]\n",
    "    # b[-1] = r * u[j - 1, -1] + r * u[j, -1]\n",
    "    ut1[j, 1:nx] = Ainv @ ((B @ ut1[j - 1, 1:nx])) # + b)\n",
    "\n",
    "upredt1 = model(torch.cat((beta_matt1, torch.from_numpy(X).float().unsqueeze(0).unsqueeze(0), torch.from_numpy(T).float().unsqueeze(0).unsqueeze(0)), 1))\n",
    "\n",
    "plt.subplot(121)\n",
    "plt.imshow(ut1, aspect='auto')\n",
    "plt.subplot(122)\n",
    "plt.imshow(upredt1.detach()[0][0], aspect='auto')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "## Test 2\n",
    "## Initial Condition\n",
    "betat2 = np.random.uniform(-10, 10)\n",
    "beta_matt2 = betat2 * torch.from_numpy(np.ones((nt + 1, nx + 1))).float().unsqueeze(0).unsqueeze(0)\n",
    "\n",
    "## Compute Solution\n",
    "ut2 = np.zeros((nt + 1, nx + 1))\n",
    "ut2[0] = np.sin(betat2 * X[0]) \n",
    "ut2[:, 0] = ux0\n",
    "ut2[:, -1] = uxn\n",
    "\n",
    "# b = np.zeros(nx - 1)\n",
    "for j in range(1, nt + 1):\n",
    "    # b[0] = r * u[j - 1, 0] + r * u[j, 0]\n",
    "    # b[-1] = r * u[j - 1, -1] + r * u[j, -1]\n",
    "    ut2[j, 1:nx] = Ainv @ ((B @ ut2[j - 1, 1:nx])) # + b)\n",
    "\n",
    "upredt2 = model(torch.cat((beta_matt2, torch.from_numpy(X).float().unsqueeze(0).unsqueeze(0), torch.from_numpy(T).float().unsqueeze(0).unsqueeze(0)), 1))\n",
    "\n",
    "plt.subplot(121)\n",
    "plt.imshow(ut2, aspect='auto')\n",
    "plt.subplot(122)\n",
    "plt.imshow(upredt2.detach()[0][0], aspect='auto')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "## Training Loop\n",
    "def train_loop(dataloader, model, loss_function, optimizer):\n",
    "    size = len(dataloader.dataset)\n",
    "    for batch, (t, x) in enumerate(dataloader):\n",
    "        # Compute prediction and loss\n",
    "        pred = model(t)\n",
    "        loss = loss_function(pred, x)\n",
    "\n",
    "        # Backpropagation\n",
    "        optimizer.zero_grad()\n",
    "        loss.backward()\n",
    "        optimizer.step()\n",
    "\n",
    "        if batch % 100 == 0:\n",
    "            loss, current = loss.item(), batch * len(t)\n",
    "            print(f\"loss: {loss:>7f}  [{current:>5d}/{size:>5d}]\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch 1\n",
      "-------------------------------\n",
      "loss: 0.171860  [    0/10000]\n",
      "loss: 0.005559  [ 1600/10000]\n",
      "loss: 0.002578  [ 3200/10000]\n",
      "loss: 0.002011  [ 4800/10000]\n",
      "loss: 0.002880  [ 6400/10000]\n",
      "loss: 0.000925  [ 8000/10000]\n",
      "loss: 0.000751  [ 9600/10000]\n",
      "Epoch 2\n",
      "-------------------------------\n",
      "loss: 0.000526  [    0/10000]\n",
      "loss: 0.001489  [ 1600/10000]\n",
      "loss: 0.000604  [ 3200/10000]\n",
      "loss: 0.000531  [ 4800/10000]\n",
      "loss: 0.000316  [ 6400/10000]\n",
      "loss: 0.000321  [ 8000/10000]\n",
      "loss: 0.019255  [ 9600/10000]\n",
      "Epoch 3\n",
      "-------------------------------\n",
      "loss: 0.007865  [    0/10000]\n",
      "loss: 0.000387  [ 1600/10000]\n",
      "loss: 0.000280  [ 3200/10000]\n",
      "loss: 0.001043  [ 4800/10000]\n",
      "loss: 0.000198  [ 6400/10000]\n",
      "loss: 0.000133  [ 8000/10000]\n",
      "loss: 0.000112  [ 9600/10000]\n",
      "Epoch 4\n",
      "-------------------------------\n",
      "loss: 0.000132  [    0/10000]\n",
      "loss: 0.000441  [ 1600/10000]\n",
      "loss: 0.001228  [ 3200/10000]\n",
      "loss: 0.000152  [ 4800/10000]\n",
      "loss: 0.000241  [ 6400/10000]\n",
      "loss: 0.000152  [ 8000/10000]\n",
      "loss: 0.000084  [ 9600/10000]\n",
      "Epoch 5\n",
      "-------------------------------\n",
      "loss: 0.000096  [    0/10000]\n",
      "loss: 0.004125  [ 1600/10000]\n",
      "loss: 0.000184  [ 3200/10000]\n",
      "loss: 0.000093  [ 4800/10000]\n",
      "loss: 0.000104  [ 6400/10000]\n",
      "loss: 0.000060  [ 8000/10000]\n",
      "loss: 0.000065  [ 9600/10000]\n",
      "Done!\n"
     ]
    }
   ],
   "source": [
    "for t in range(epochs):\n",
    "    print(f\"Epoch {t+1}\\n-------------------------------\")\n",
    "    train_loop(dataloader, model, loss_function, optimizer)\n",
    "print(\"Done!\")"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "## Test 0\n",
    "upredt0 = model(torch.cat((beta_matt0, torch.from_numpy(X).float().unsqueeze(0).unsqueeze(0), torch.from_numpy(T).float().unsqueeze(0).unsqueeze(0)), 1))\n",
    "\n",
    "plt.subplot(121)\n",
    "plt.imshow(ut0, aspect='auto')\n",
    "plt.subplot(122)\n",
    "plt.imshow(upredt0.detach()[0][0], aspect='auto')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "## Test 1\n",
    "upredt1 = model(torch.cat((beta_matt1, torch.from_numpy(X).float().unsqueeze(0).unsqueeze(0), torch.from_numpy(T).float().unsqueeze(0).unsqueeze(0)), 1))\n",
    "\n",
    "plt.subplot(121)\n",
    "plt.imshow(ut1, aspect='auto')\n",
    "plt.subplot(122)\n",
    "plt.imshow(upredt1.detach()[0][0], aspect='auto')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "## Test 2\n",
    "upredt2 = model(torch.cat((beta_matt2, torch.from_numpy(X).float().unsqueeze(0).unsqueeze(0), torch.from_numpy(T).float().unsqueeze(0).unsqueeze(0)), 1))\n",
    "\n",
    "plt.subplot(121)\n",
    "plt.imshow(ut2, aspect='auto')\n",
    "plt.subplot(122)\n",
    "plt.imshow(upredt2.detach()[0][0], aspect='auto')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.7"
  },
  "orig_nbformat": 4,
  "vscode": {
   "interpreter": {
    "hash": "f54341ac4e2bdd69a6d68ef92ba10dc3d6a543b04dcfd5963186c31d127e10f5"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
